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Finding the Fourth Proportional to 2,935.30, 4,051.02 and 1,741

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Solution

The fourth proportional to 2,935.30, 4,051.02 and 1,741 is: 2,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.30 : 4,051.02 = 1,741 : x
  2. Step 2: Convert to fraction form
    2,935.30/4,051.02 = 1,741/x
  3. Step 3: Cross multiply
    2,935.30x = 4,051.02 × 1,741
  4. Step 4: Simplify right side
    2,935.30x = 7,052,825.82
  5. Step 5: Solve for x
    x = 7,052,825.82/2,935.30
  6. Step 6: Final answer
    x = 2,402.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.